We find a series of new solutions to Wess-Zumino's consistency conditions for noncommutative differential calculus on the quantum planes. These solutions correspond to the quantum orthogonal planes and quantum symplectic planes. As a by-product, d2 = 0 is automatically satisfied in this construction.Physics, MultidisciplinarySCI(E)中国科学引文数据库(CSCD)1ARTICLE3323-3301
We discuss in some generality aspects of noncommutative differential geometry associated with realit...
We develop Cresson's nondifferentiable calculus of variations on the space of Holder functions. Seve...
Various geometrical aspects of quantum spaces are presented showing the possibility of building phys...
A general discussion is given of reality conditions within the context of noncommutative geometry. I...
this paper we assume that all algebras are over the complex field C and admit a unit element denoted...
By introducing the left and right derivatives, we establish a real structure for the covariant diffe...
By introducing the left and right derivatives, we establish a real structure for the covariant diffe...
Abstract: We apply one of the formalisms of noncommutative geometry to $R^N_q$, the quantum space co...
Abstract: We briefly report our application of a version of noncommutative geometry to the quantum E...
Abstract: We report on our recent breakthrough in the costructionfor q>0 of Hermitean and ``tractabl...
The covariant differential calculus on the quantum Minkowski space is presented with the help of the...
AbstractFor transcendental values of q the quantum tangent spaces of all left-covariant first order ...
summary:We introduce a method for construction of a covariant differential calculus over a Hopf alge...
In this paper, we revise the concept of noncommutative vector fields introduced previously in Ref. [...
2We study a multi-parametric family of quadratic algebras in four generators, which includes coordin...
We discuss in some generality aspects of noncommutative differential geometry associated with realit...
We develop Cresson's nondifferentiable calculus of variations on the space of Holder functions. Seve...
Various geometrical aspects of quantum spaces are presented showing the possibility of building phys...
A general discussion is given of reality conditions within the context of noncommutative geometry. I...
this paper we assume that all algebras are over the complex field C and admit a unit element denoted...
By introducing the left and right derivatives, we establish a real structure for the covariant diffe...
By introducing the left and right derivatives, we establish a real structure for the covariant diffe...
Abstract: We apply one of the formalisms of noncommutative geometry to $R^N_q$, the quantum space co...
Abstract: We briefly report our application of a version of noncommutative geometry to the quantum E...
Abstract: We report on our recent breakthrough in the costructionfor q>0 of Hermitean and ``tractabl...
The covariant differential calculus on the quantum Minkowski space is presented with the help of the...
AbstractFor transcendental values of q the quantum tangent spaces of all left-covariant first order ...
summary:We introduce a method for construction of a covariant differential calculus over a Hopf alge...
In this paper, we revise the concept of noncommutative vector fields introduced previously in Ref. [...
2We study a multi-parametric family of quadratic algebras in four generators, which includes coordin...
We discuss in some generality aspects of noncommutative differential geometry associated with realit...
We develop Cresson's nondifferentiable calculus of variations on the space of Holder functions. Seve...
Various geometrical aspects of quantum spaces are presented showing the possibility of building phys...
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